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regularSequenceCheck -- how much of a list is regular

Description

Given a list X, the function regularSequenceCheck gives an integer indicating how many initial elements of a List form a regular sequence.
i1 : A = ZZ[x_1..x_4]/(x_4^2)	  

o1 = A

o1 : QuotientRing
i2 : regularSequenceCheck({x_1..x_4},A)	    

o2 = 3

This symbol is provided by the package Depth.

Caveat

regularSequenceCheck merely checks the injectivity of the maps in question. It does not check to see if XA = A.

Ways to use regularSequenceCheck:

  • regularSequenceCheck(List,Module)
  • regularSequenceCheck(List,Ring)
  • regularSequenceCheck(Matrix,Module)
  • regularSequenceCheck(Matrix,Ring)

For the programmer

The object regularSequenceCheck is a method function.


The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Depth.m2:711:0.